D={x|x>2} E={x|x≤5} Write D n E and D ∪ E using interval notation?

Answer 1

Greetings! Lets show how to put this in interval notation!

Notice that D in interval notation is (2, ∞) and E in interval notation is (-∞, 5].

So,

D ∩ E = {3, 4, 5} or (2, 5] in interval notation because 3, 4 and 5 show up in both sets. Then, we must follow the number line to set the union interval properly. Thus,

D ∪ E = (-∞, 2) ∪ (2, 5] ∪ [5, ∞)

Hope this helps!